Comptes Rendus
no. S2
Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications
[Croissance équiaxe de dendrites Al–Cu en interaction dans des échantillons minces : une étude de champ de phase à des concentrations de cuivre pertinentes pour des applications pratiques]
Tong Zhao Gong1  ; Ahmed Kaci Boukellal2  ; Yun Chen1  ; Jean-Marc Debierre3  
1 Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, Liaoning, 110016, P. R. China
2 IMDEA Materials Institute, Getafe, Madrid, Spain
3 Aix-Marseille Université, CNRS, Université de Toulon, IM2NP UMR 7334, 13397 Marseille, France
Comptes Rendus. Mécanique, Volume 351 (2023) no. S2, pp. 233-247.

Nous réalisons des simulations de type champ de phase tri-dimensionnel de la solidification equiaxe dans les échantillons minces d’Al–Cu. Des conditions purement diffusives sont considérées pour décrire des systèmes où la convection et la gravité peuvent être négligées. L’utilisation d’un algorithme parallèle adaptatif de type éléments finis proposé récemment [Gong et al., Comput. Mater. Sci. 147 (2018) p. 338-352] nous permet d’atteindre le domaine des concentrations en cuivre utisées dans les applications pratiques (c≥3 wt% Cu). Nous comparons nos résultats à ceux d’une étude antérieure qui, en raison de l’utilisation d’un code de différences finies, était restreinte à des concentrations de cuivre plus faibles (c≤2 wt% Cu) [Boukellal et al., Materialia 1 (2018) p. 62-69]. Dans le régime de croissance dendritique rapide, nos résultats confirment que la longueur de croissance adimensionnée Λ est indépendante de la concentration du cuivre et de la distance moyenne séparant les germes dendritiques. Les nouveaux résultats obtenus aux concentrations plus élevées conduisent à une estimation plus précise de Λ. Des arguments physiques sont développés pour préciser la signification de Λ et les fondements de la loi d’échelle Λ=cst. La comparaison avec les résultats expérimentaux disponibles dans la litérature scientifique apporte une confirmation supplémentaire de cette loi d’échelle.

We perform three-dimensional phase-field simulations of equiaxed solidification in Al–Cu thin samples. Purely diffusive conditions are considered in order to describe systems where convection and gravity effects can be neglected. The use of a parallel adaptive finite element algorithm introduced recently [Gong et al., Comput. Mater. Sci. 147 (2018) p. 338-352] allows us to reach the domain of copper concentrations used in practical applications (c≥3 wt% Cu). We compare the present results with those of a previous study which was restricted to lower copper concentrations (c≤2 wt% Cu) [Boukellal et al., Materialia 1 (2018) p. 62-69] due to the use of a finite difference code. In the fast dendritic growth regime, our results confirm that the dimensionless growth length Λ is independent of the copper concentration and the average separation distance between the dendrite nuclei. The new data obtained at higher copper concentrations lead to a more accurate estimate of Λ. Physical arguments are developed to specify the meaning of Λ and the grounds of the scaling law Λ=cst. Comparisons with available experimental results of the literature give additional support to this scaling law.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/crmeca.145
Keywords: Metals and alloys, Solidification, Solute diffusion, Grain structure, Phase-field, Microgravity
Mot clés : Métaux et alliages, Solidification, Diffusion des solutés, Structure des grains, Champ de phase, Microgravité
Tong Zhao Gong 1 ; Ahmed Kaci Boukellal 2 ; Yun Chen 1 ; Jean-Marc Debierre 3

1 Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, Liaoning, 110016, P. R. China
2 IMDEA Materials Institute, Getafe, Madrid, Spain
3 Aix-Marseille Université, CNRS, Université de Toulon, IM2NP UMR 7334, 13397 Marseille, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Tong Zhao Gong and Ahmed Kaci Boukellal and Yun Chen and Jean-Marc Debierre},
     title = {Equiaxed growth of interacting {Al{\textendash}Cu} dendrites in thin samples: a~phase-field study at copper concentrations relevant for practical applications},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {233--247},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {351},
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     year = {2023},
     doi = {10.5802/crmeca.145},
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Tong Zhao Gong; Ahmed Kaci Boukellal; Yun Chen; Jean-Marc Debierre. Equiaxed growth of interacting Al–Cu dendrites in thin samples: a phase-field study at copper concentrations relevant for practical applications. Comptes Rendus. Mécanique, Volume 351 (2023) no. S2, pp. 233-247. doi : 10.5802/crmeca.145. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.145/

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